Large-scale Stein and Lyapunov equations, Smith method, and applications

On the numerical solution of large-scale sparse discrete-time Riccati equations

(2011) Peter Benner et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations

(2011) Miloud Sadkane   LINEAR ALGEBRA AND ITS APPLICATIONS

ADI preconditioned Krylov methods for large Lyapunov matrix equations

(2010) K. Jbilou   LINEAR ALGEBRA AND ITS APPLICATIONS

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU–GPU platforms

(2010) Peter Benner et al.   PARALLEL COMPUTING

On the ADI method for Sylvester equations

(2009) Peter Benner et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Large-scale matrix equations of special type

(2008) Peter Benner   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations

(2008) T. Damm   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems

(2008) Peter Benner et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS